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Finding the Fourth Proportional to 223,654.38, 335,038.74 and 144,824.10

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Solution

The fourth proportional to 223,654.38, 335,038.74 and 144,824.10 is: 216,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,654.38 : 335,038.74 = 144,824.10 : x
  2. Step 2: Convert to fraction form
    223,654.38/335,038.74 = 144,824.10/x
  3. Step 3: Cross multiply
    223,654.38x = 335,038.74 × 144,824.10
  4. Step 4: Simplify right side
    223,654.38x = 48,521,683,985.63
  5. Step 5: Solve for x
    x = 48,521,683,985.63/223,654.38
  6. Step 6: Final answer
    x = 216,949.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.